The tires mary wants to buy for her car cost $200 per tire. A store is offering the following deal: Buy 3 tires et the 4th tire for 75% off ! Mary will buy 4 tires using the deal . The sales tax is 8%. how much will mary save using the deal versus paying the full price for all 4 tires ?
answer is 162 how did they get pls explain
thank you
To calculate how much Mary will save using the deal, we need to compare the price she would pay with the deal versus the price she would pay if she bought all four tires at full price.
The cost of one tire is $200, so the cost of all four tires at full price would be:
$200 * 4 = $800
With the deal, Mary gets the fourth tire for 75% off, which means she only pays 25% of the original price for that tire. So the cost of the fourth tire with the deal is:
$200 * 0.25 = $50
Now we can calculate the total cost with the deal:
$200 + $200 + $200 + $50 = $650
Next, we need to add the sales tax to the total cost. The sales tax is 8%, which means Mary will pay an additional 8% of the total cost in taxes:
$650 * 0.08 = $52
Finally, we can calculate the total amount Mary will pay with the deal:
$650 + $52 = $702
To find how much Mary will save using the deal versus paying the full price for all four tires, we subtract the total cost with the deal from the cost at full price:
$800 - $702 = $98
Therefore, Mary will save $98 using the deal compared to paying the full price for all four tires.
To calculate how much Mary will save using the deal versus paying the full price for all 4 tires, we need to first calculate the full price for all 4 tires.
Since each tire costs $200, the full price for 4 tires without any discount would be:
Full price = $200/tire * 4 tires = $800
Now let's calculate the savings Mary will get using the deal. The deal offers the fourth tire at a 75% discount. So, Mary will pay 25% (100% - 75%) of the original price for the fourth tire.
Discounted price for the fourth tire = 25% * $200 = $50
With the deal, Mary will buy the first three tires at the original price of $200 each, and the fourth tire at a discounted price of $50.
Total price with the deal = Original price for 3 tires + Discounted price for the fourth tire
= ($200/tire * 3 tires) + $50
= $600 + $50
= $650
Now, let's calculate the amount Mary will save using the deal:
Savings = Full price - Total price with the deal
= $800 - $650
= $150
However, we also need to factor in the sales tax of 8%. To include the sales tax, we can calculate it as follows:
Sales tax = 8% * Total price with the deal
= 8% * $650
= $52
Finally, to get the total savings with the sales tax included, we subtract the sales tax amount from the original saving:
Total savings = Savings - Sales tax
= $150 - $52
= $98
Therefore, Mary will save $98 using the deal versus paying the full price for all 4 tires. It seems that the answer you provided, $162, might be incorrect.
75% off is 25% = 1/4
full price = 200*4 * 1.08
deal price = (200*3 + 50) * 1.08
subtract